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380918088 = 233223273137
BaseRepresentation
bin10110101101000…
…101100101001000
3222112202122101100
4112231011211020
51240003334323
6101444221400
712303515235
oct2655054510
9875678340
10380918088
11186022441
12a769a860
1360bc0025
143883878c
1523694943
hex16b45948

380918088 has 144 divisors (see below), whose sum is σ = 1101211020. Its totient is φ = 118914048.

The previous prime is 380918081. The next prime is 380918107. The reversal of 380918088 is 880819083.

It can be written as a sum of positive squares in 2 ways, for example, as 378613764 + 2304324 = 19458^2 + 1518^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380918081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2780356 + ... + 2780492.

Almost surely, 2380918088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380918088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550605510).

380918088 is an abundant number, since it is smaller than the sum of its proper divisors (720292932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380918088 is a wasteful number, since it uses less digits than its factorization.

380918088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 380918088 is about 19517.1229437128. The cubic root of 380918088 is about 724.8984958172.

The spelling of 380918088 in words is "three hundred eighty million, nine hundred eighteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 73 92 137 138 146 184 207 219 274 276 292 411 414 438 529 548 552 584 657 822 828 876 1058 1096 1233 1314 1587 1644 1656 1679 1752 2116 2466 2628 3151 3174 3288 3358 4232 4761 4932 5037 5256 6302 6348 6716 9453 9522 9864 10001 10074 12604 12696 13432 15111 18906 19044 20002 20148 25208 28359 30003 30222 37812 38088 38617 40004 40296 56718 60006 60444 72473 75624 77234 80008 90009 113436 115851 120012 120888 144946 154468 180018 217419 226872 230023 231702 240024 289892 308936 347553 360036 434838 460046 463404 579784 652257 690069 695106 720072 869676 920092 926808 1304514 1380138 1390212 1739352 1840184 2070207 2609028 2760276 2780424 4140414 5218056 5290529 5520552 8280828 10581058 15871587 16561656 21162116 31743174 42324232 47614761 63486348 95229522 126972696 190459044 380918088